263256480 has 336 divisors, whose sum is σ = 973390824. Its totient is φ = 67184640.

The previous prime is 263256479. The next prime is 263256481. The reversal of 263256480 is 84652362.

263256480 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (263256479) and next prime (263256481).

It can be written as a sum of positive squares in 4 ways, for example, as 194100624 + 69155856 = 13932^2 + 8316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (263256481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4315650 + ... + 4315710.

Almost surely, 2^263256480 is an apocalyptic number.

263256480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486695412).

263256480 is an abundant number, since it is smaller than the sum of its proper divisors (710134344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263256480 is an equidigital number, since it uses as much as digits as its factorization.

263256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 263256480 is about 16225.1804304297. The cubic root of 263256480 is about 640.9040608684.

The spelling of 263256480 in words is "two hundred sixty-three million, two hundred fifty-six thousand, four hundred eighty".